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The Existence of Orbits Connecting Critical Points of Differential Equations Depending on a Parameter

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Abstract

Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter are given.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Shuxiang Yu

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  1. Shuxiang Yu
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Correspondence to Shuxiang Yu.

Additional information

Research supported by the National Science Foundation of China (No. 10271115).

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Yu, S. The Existence of Orbits Connecting Critical Points of Differential Equations Depending on a Parameter. Jrl Syst Sci & Complex 19, 72–75 (2006). https://doi.org/10.1007/s11424-006-0072-x

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  • DOI: https://doi.org/10.1007/s11424-006-0072-x

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